Curves of genus 2 with sqrt2 multiplication

Peter R. Bending

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Curves of genus 2 with sqrt2 multiplication

Peter R. Bending

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Abstract

In this paper, we give a universal family of curves of genus 2 whose jacobians have $\sqrt2$ multiplication fixed by the Rosati involution, and several results based on it, including isogenies between jacobians of curves, and jacobians of curves with quaternionic multiplication.

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BibTeX RIS

Peter R. Bending. 1999-11-23. Curves of genus 2 with sqrt2 multiplication. https://arxiv.org/abs/math/9911273

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